The table shows the prices of shortbreads at two shops. The shortbreads are only sold in sets of 6 shortbreads in Fiona's Bakery or sets of 7 shortbreads in Cathy's Bakery.
Shop |
Price of shortbreads |
Fiona's Bakery |
6 for $7 |
Cathy's Bakery |
7 for $9 |
- Zara has $22.60. She wants to buy 28 shortbreads from Cathy's Bakery. How much more money does she need to buy the 28 shortbreads?
- Dylan has $82. He wants to buy the greatest possible number of shortbreads with his money from one of the two shops. What is the greatest possible number of shortbreads he can buy with his money?
(a)
Number of sets of 7 shortbreads
= 28 ÷ 7
= 4
Cost of 28 shortbreads
= 4 x 9
= $36
Amount that Zara needs more to buy the 28 shortbreads
= 36 - 22.60
= $13.40
(b)
Number of sets of 6 shortbreads that Dylan could buy at Fiona's Bakery
= 82 ÷ 7
= 11 r 5
Number of shortbreads that Dylan could buy at Fiona's Bakery
= 11 x 6
= 66
(More)Number of sets of 7 shortbreads that Dylan could buy at Cathy's Bakery
= 82 ÷ 9
= 9 r 1
Number of shortbreads that Dylan could buy at Cathy's Bakery
= 9 x 7
= 63
Greatest possible number of shortbreads that Dylan can buy with his money = 66
Answer(s): (a) $13.40; (b) 66